Vertical Translation of Quadratic Function
The question is asking which function translates the graph of the parent function f(x) = x^2 vertically up by 6 units.
When you need to translate a graph vertically, you add or subtract a constant to the entire function. If you add a positive constant, the graph moves up; if you subtract a positive constant, it moves down.
Since we need to move the graph up by 6 units, we will add 6 to the function. Thus, the correct function that represents this transformation is:
g(x) = x^2 + 6
The correct answer is A: g(x) = x^2 + 6.
